Zatcoff Factoring When A Does Not = 1

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| By Courtney Frank
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Courtney Frank
Community Contributor
Quizzes Created: 45 | Total Attempts: 16,348
| Attempts: 202
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  • 1/5 Questions
    Factor  - ProProfs

    Factor 

    • (x - 3)(7x + 5)
    • (x - 4)(7x + 1)
    • (x + 2)(7x - 4)
    • (x - 2)(7x - 2)
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About This Quiz

You may use any method of factoring on this quiz. Factor each polynomial COMPLETELY.

Zatcoff Factoring When A Does Not = 1 - Quiz

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  • 2. 
    Factor:   - ProProfs

    Factor:  

    • (3z+2)(5z-4)

    • (3z-2)(5z+4)

    • (15z-2)(z+4)

    • (15z - 2)(z - 8)

    Correct Answer
    A. (3z-2)(5z+4)
    Explanation
    The given expression is a product of two binomials. To determine the correct answer, we need to use the distributive property to multiply the terms in each binomial. When we apply the distributive property to (3z+2)(5z-4), we get 15z^2 - 12z + 10z - 8. Simplifying further, we have 15z^2 - 2z - 8. This matches the expression in the answer choice (3z-2)(5z+4), so it is the correct answer.

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  • 3. 
    Factor:  - ProProfs

    Factor: 

    • 2(x - 8)(x + 1)

    • (x - 2)(2x - 8)

    • 2(x - 2)(x - 4)

    • (x - 2)(x - 4)

    Correct Answer
    A. 2(x - 2)(x - 4)
    Explanation
    The correct answer is 2(x - 2)(x - 4). This is because when we multiply out the factors, we get 2(x^2 - 6x + 8), which simplifies to 2x^2 - 12x + 16. This matches the given expression, so it is the correct answer.

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  • 4. 
    Which binomial is a factor of  - ProProfs

    Which binomial is a factor of 

    • 3x - 3

    • 3x - 4

    • 6x + 3

    • X + 4

    Correct Answer
    A. 3x - 4
    Explanation
    The binomial 3x - 4 is a factor of the given expression because when we divide the expression by 3x - 4, we get a quotient without any remainder. This means that 3x - 4 divides evenly into the expression, and therefore it is a factor.

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  • 5. 
    Factor completely:  - ProProfs

    Factor completely: 

    • (2x - 1)(5x+20)

    • 5(2x - 1)(x + 4)

    • 5(2x + 1)(x - 4)

    • (2x + 1)(x + 4)

    Correct Answer
    A. 5(2x + 1)(x - 4)
    Explanation
    The given expression can be factored completely as 5(2x + 1)(x - 4). This is obtained by applying the distributive property to the expression 5(2x - 1)(x + 4). The common factor of 5 can be pulled out, and the remaining expressions inside the parentheses can be multiplied together.

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Quiz Review Timeline (Updated): Mar 15, 2023 +

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  • Current Version
  • Mar 15, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Feb 10, 2015
    Quiz Created by
    Courtney Frank
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